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Accuracy of Numerical Solutions Using the Euler Equation Residuals
Author(s) -
Santos Manuel S.
Publication year - 2000
Publication title -
econometrica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 16.7
H-Index - 199
eISSN - 1468-0262
pISSN - 0012-9682
DOI - 10.1111/1468-0262.00165
Subject(s) - bounding overwatch , mathematics , curvature , function (biology) , euler's formula , euler equations , mathematical analysis , computer science , geometry , evolutionary biology , artificial intelligence , biology
This paper is concerned with asymptotic properties on the accuracy of numerical solutions. It is shown that the approximation error of the policy function is of the same order of magnitude as the size of the Euler equation residuals. Moreover, for bounding this approximation error the most relevant parameters are the discount factor and the curvature of the return function. These findings provide theoretical foundations for the construction of tests to assess the performance of alternative computational methods.